Results
Title

New point view of spectral gap in functional spaces for birth-death processes.

Authors

Ma, Yutao; Mao, Yonghua

Abstract

Constructing some proper functional spaces, we obtain the corresponding norm for the operator (−ℒ), and then, via spectral theory, we revisit two variational formulas of the spectral gap, given by M. F. Chen [Front. Math. China, 2010, 5(3): 379-515], for transient birth-death processes.

Subjects

FUNCTIONAL analysis; MARKOV operators; SPECTRAL theory; STOCHASTIC analysis; TRANSIENT analysis

Publication

Frontiers of Mathematics in China, 2014, Vol 9, Issue 3, p523

ISSN

1673-3452

Publication type

Academic Journal

DOI

10.1007/s11464-013-0276-z